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  pdftitle={Supplementary Material - Following the trail of words: mapping trending topics of graduate research in Brazil's IR (1987-2018)},
  pdfauthor={Thales Carvalho (UFMG); Vinicius Santos (UFMG); Yulieth Martínez (UFMG)},
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\title{Supplementary Material - Following the trail of words: mapping
trending topics of graduate research in Brazil's IR (1987-2018)}
\author{Thales Carvalho (UFMG) \and Vinicius Santos (UFMG) \and Yulieth
Martínez (UFMG)}
\date{2023}

\begin{document}
\maketitle

\newpage

\begin{longtable}[t]{r|>{\raggedright\arraybackslash}p{7em}|>{\raggedright\arraybackslash}p{18em}|>{\raggedright\arraybackslash}p{18em}}
\caption{\label{tab:unnamed-chunk-2}Topic Labels}\\
\hline
Number & Topic Label & Highest Probabilities & FREX\\
\hline
\endfirsthead
\caption[]{Topic Labels \textit{(continued)}}\\
\hline
Number & Topic Label & Highest Probabilities & FREX\\
\hline
\endhead
1 & N/A & proc, autonom, institut, procur, ide, diverg, term, relat, trad, pont, sent, vist, condicion, conteud, percepc & institut, proc, autonom, diverg, procur, trad, term, conteud, relat, ide, condicion, defend, pont, articul, alemanh\\
\hline
2 & N/A & control, investig, inform, agenc, ativ, oportun, servic, camp, sistem, ferrament, envolv, possibil, import, prat, papel & control, agenc, oportun, inform, investig, servic, ativ, ferrament, sober, atribu, camp, tip, possibil, difus, noc\\
\hline
3 & Industry, Technology, and Innovation & tecnolog, inov, industr, risc, sistem, nov, desafi, conhec, impact, transform, mold, enfrent, planej, agent, elev & tecnolog, inov, risc, industr, mold, desafi, planej, conhec, elev, enfrent, impact, produ, agent, transform, reduz\\
\hline
4 & Foreign Policy Decision-Making & presid, particip, congress, execu, ade, legisl, mandat, decid, trat, deciso, int, acord, republ, tent, consequ & presid, congress, execu, decid, ade, mandat, legisl, particip, deciso, plen, deu, sen, tent, atenc, republ\\
\hline
5 & Agricultural Negotiations & negoci, int, domest, comerc, grup, form, coaliz, pos, rod, prefer, agricol, atu, influenc, deci, nivel & negoci, coaliz, domest, rod, prefer, agricol, comerc, int, pos, minist, grup, protocol, reun, influenc, deciso\\
\hline
6 & N/A & contribu, real, conhec, influ, cienc, bas, natur, levant, exerc, possibil, alcanc, encontr, dificuldad, vis, posi & real, contribu, cienc, conhec, levant, dificuldad, posi, exerc, influ, natur, alcanc, cientif, possibil, individ, encontr\\
\hline
7 & Southern Cone States & argentin, inserc, urugu, paragu, mudanc, period, ocorr, moment, seri, desenvolvi, transform, lug, espec, cen, econom & inserc, argentin, urugu, paragu, desenvolvi, seri, perif, lug, men, configur, imper, profund, moment, mudanc, desempenh\\
\hline
8 & Bi and Multilateral Relations & relacion, diplom, bilat, dec, period, inic, parc, aproxim, ano, estabelec, multilat, pass, marc, conjunt, long & diplom, bilat, relacion, parc, aproxim, dec, period, caract, inic, multilat, abrang, converg, conjunt, estabelec, long\\
\hline
9 & Refugees & cond, refugi, pesso, protec, defin, desloc, migr, vis, franc, limit, consequ, atual, centr, relacion, intern & refugi, cond, pesso, desloc, protec, franc, migr, defin, limit, posteri, fornec, consequ, crite, vis, categor\\
\hline
10 & Strategic Studies & estrateg, mar, marit, atual, capac, defe, nacion, cen, domini, form, mod, convenc, import, espec, nov & mar, estrateg, marit, domini, capac, atual, convenc, projec, potenc, aqui, disput, contest, mod, cen, defe\\
\hline
11 & Environment and Climate Change & mudanc, ambi, domest, clim, ambient, nivel, regim, implement, alter, deci, ambit, confer, compromiss, impact, envolv & mudanc, ambi, clim, ambient, domest, nivel, alter, implement, compromiss, confer, regim, deci, indic, reduc, impact\\
\hline
12 & Health and Education Policies & cooper, tecn, sulsul, camp, acord, coorden, ambit, ano, dimen, forum, conjunt, ult, emerg, estabelec, parc & cooper, sulsul, tecn, coorden, forum, camp, transfer, combin, modal, parc, dimen, benefici, ate, prov, acord\\
\hline
13 & International Cooperation & nacion, plan, institu, banc, mund, educ, saud, elabor, human, ref, instituc, administr, cri, form, import & banc, plan, educ, saud, institu, elabor, administr, nacion, basic, promoc, mund, profiss, instituc, human, especi\\
\hline
14 & European Studies & europ, uni, institu, trat, comunidad, comum, subsidi, constitu, instituc, sistem, intergoverna, alemanh, nece, bas, cri & europ, uni, subsidi, institu, comum, intergoverna, comunidad, alemanh, trat, equilib, instituc, constitu, reform, condicion, regr\\
\hline
15 & History & histor, secul, pen, temp, pass, moment, final, dec, long, xxi, imperi, form, ideolog, period, muit & secul, histor, pen, temp, imperi, xxi, xix, ideolog, moment, long, final, continu, metad, pass, estev\\
\hline
16 & Amazon and Borders & fronteir, recur, amazon, reg, sustent, trat, territo, ambient, prat, natur, bac, conflit, gest, int, compartilh & fronteir, amazon, recur, sustent, bac, territo, reg, ambient, gest, compartilh, natur, rio, prat, territor, reserv\\
\hline
17 & International Economy & econom, financ, sistem, capit, glob, cris, emerg, hegemon, mund, estrut, form, reform, ord, nov, centr & financ, capit, hegemon, econom, emerg, monet, cris, glob, sistem, reform, neolib, expan, acumul, liber, ord\\
\hline
18 & Multilateral Trade Regimes & acord, comerci, multilat, propriedad, intelect, omc, organiz, soluc, mund, regim, controv, sistem, mecan, med, contenc & propriedad, comerci, omc, acord, multilat, intelect, controv, soluc, contenc, regr, mecan, acess, restr, declar, favor\\
\hline
19 & Terrorism & terr, grup, combat, contr, setembr, atent, ameac, segu, jog, govern, uso, ataqu, bas, defin, mund & terr, combat, atent, setembr, grup, contr, jog, ataqu, ameac, segu, abrang, administr, uso, lanc, confront\\
\hline
20 & Gender Studies & mulh, gener, traf, viol, explor, contr, vid, hom, enfrent, repres, desafi, lid, atu, difer, crim & mulh, gener, traf, viol, hom, vid, explor, enfrent, crim, lut, corp, resist, ocup, lid, contr\\
\hline
21 & Portuguese Africa & independ, angol, afric, portugu, mocambiqu, conflit, colon, mov, portug, frent, apo, revoluc, contin, dur, ano & angol, independ, portugu, mocambiqu, colon, portug, afric, revoluc, frent, lingu, mov, ocup, antig, social, contin\\
\hline
22 & Inter-American HR System & direitoshumano, interamer, cort, protec, sistem, confer, comiss, direit, cumpr, deci, institu, instrument, med, respeit, evoluc & interamer, direitoshumano, cort, comiss, protec, confer, cumpr, org, direit, deci, justic, respeit, individu, carat, convenc\\
\hline
23 & National Defense & defe, milit, forc, arm, aer, nacion, empreg, exercit, oper, capac, aeron, form, operac, civil, nece & milit, aer, defe, forc, exercit, aeron, arm, empreg, operac, capac, oper, civil, cur, prepar, gest\\
\hline
24 & Migration Flows & soc, imigr, nacion, migr, desigualdad, form, flux, comunidad, pertenc, indic, nivel, impact, fronteir, mobil, influenc & imigr, soc, desigualdad, migr, pertenc, flux, mobil, indic, pobr, interi, nacion, provoc, comunidad, diminu, logic\\
\hline
25 & Peace Operations & paz, oper, onu, conflit, mis, organiz, manutenc, parec, resoluc, naca, atu, unid, reconstruc, particip, estabelec & paz, onu, oper, parec, mis, conflit, manutenc, resoluc, reconstruc, pacif, liber, soluc, organiz, naca, republ\\
\hline
26 & UN Security Council & unid, naca, conselh, organiz, membr, comport, org, aprov, reform, vot, resoluc, perman, verif, geral, deci & unid, conselh, naca, vot, membr, aprov, org, comport, perman, resoluc, reform, organiz, lig, lei, verif\\
\hline
27 & Traditional Communities & crit, modern, escol, indigen, pov, ingl, contemporan, religi, mov, sab, viv, corr, sociedad, moral, ano & indigen, escol, modern, crit, ingl, religi, pov, sab, viv, moral, corr, contemporan, express, contrad, logic\\
\hline
28 & Energy Resources & energ, petrol, venezuel, chav, recur, natur, econom, boliv, reg, set, font, import, nacion, ano, reserv & energ, petrol, venezuel, chav, boliv, recur, natur, reserv, matriz, font, disput, renov, set, geopoli, produt\\
\hline
29 & US Foreign Policy & guerr, eua, norteamer, unid, mund, conflit, medi, apo, iraqu, estadunid, orient, guerrafria, milit, doutrin, influ & eua, norteamer, guerr, iraqu, medi, estadunid, bush, conflit, guerrafria, doutrin, apo, unid, orient, mund, georg\\
\hline
30 & South American Integration & region, sul, amer, sulamer, defe, reg, integr, infraestrut, unasul, integracaoregion, inic, agend, complex, form, mecan & region, sulamer, sul, unasul, infraestrut, amer, integracaoregion, defe, reg, lideranc, agend, fisic, complex, integr, mecan\\
\hline
31 & Humanitarian Intervention & intervenc, human, humanitar, respon, prat, viol, norm, uso, forc, proteg, legitim, ocorr, organiz, soberan, nov & intervenc, humanitar, respon, human, proteg, viol, legitim, uso, norm, prat, posguerrafria, assist, soberan, forc, legit\\
\hline
32 & Nuclear Regime & regim, nucl, arm, trat, convenc, assinat, acord, form, pos, papel, deci, lev, inic, revi, verif & nucl, regim, arm, assinat, convenc, complet, avanc, revi, trat, pos, pacif, comport, perm, continu, examin\\
\hline
33 & Intl. Security and Drug Trafficking & seguranc, ameac, colomb, securi, guerrafria, drog, med, agend, defe, nov, nacion, reg, traf, intern, conflit & seguranc, securi, colomb, ameac, drog, guerrafria, traf, agend, med, assunt, preocup, respost, defe, hemisf, implic\\
\hline
34 & Diplomacy & cult, val, instrument, form, diver, art, lingu, import, diplomac, examin, popul, ferrament, ident, fundament, dimen & cult, val, art, lingu, instrument, ferrament, manifest, popul, ident, examin, diver, pov, intercambi, diplomac, dimen\\
\hline
35 & International Economic Crises & extern, intern, cris, econom, ano, ajud, inic, period, condicion, pobr, div, diret, lad, int, receb & extern, cris, intern, ajud, div, pobr, condicion, receb, met, macroeconom, perfil, diret, ano, lad, econom\\
\hline
36 & Post-Positivism & discur, construc, ident, form, prat, repres, estat, narr, constitu, ide, constru, torn, sent, camp, fal & discur, ident, construc, narr, fal, estat, constru, leit, repres, imagin, diferenc, categor, prat, concepc, ide\\
\hline
37 & Subnational Actors & espac, local, nov, cidad, rio, torn, urban, govern, jan, vez, form, atu, centr, dinam, ond & espac, cidad, local, urban, rio, jan, torn, habit, nov, traz, ond, pouc, unidad, dinam, vez\\
\hline
38 & Southern Cone Integration & integr, mercosul, bloc, integracaoregion, cri, comum, econom, membr, region, livr, merc, assimetr, direcion, avanc, instrument & mercosul, integr, bloc, integracaoregion, comum, direcion, membr, livr, assimetr, avanc, cri, protocol, eix, merc, sup\\
\hline
39 & Asian Powers & chin, russ, pot, geopoli, grand, jap, asi, ocid, reg, sovi, asia, ascen, nov, centr, sistem & chin, russ, pot, asi, jap, geopoli, asia, ocid, sovi, ascen, grand, lest, rival, compet, republ\\
\hline
40 & Foreign Investment & empr, invest, set, regul, priv, merc, estrang, nacion, internacion, grand, estat, atr, contrat, cri, mecan & empr, invest, priv, regul, set, estrang, contrat, internacion, merc, atr, estat, efici, regula, efet, diret\\
\hline
41 & Natl. Perception and Public Opinion & public, comun, diplomac, grand, jorn, nov, inter, opin, exteri, man, camp, percepc, mid, veicul, empreend & comun, public, jorn, opin, diplomac, mid, inter, veicul, man, exteri, empreend, mape, grand, inclusiv, event\\
\hline
42 & Political Regime & democr, democrac, ord, pass, tran, nov, ide, institucion, cri, instituc, consolid, verdad, repres, construtiv, papel & democrac, democr, tran, ord, verdad, institucion, construtiv, pass, ide, cole, consolid, epoc, inspir, instituc, interpret\\
\hline
43 & International Law & direit, norm, jurid, principi, tribun, sistem, nacion, fundament, crim, jurisd, human, orden, intern, espec, legal & jurid, direit, tribun, principi, norm, jurisd, orden, crim, legal, justic, obrig, constituc, fundament, regr, lei\\
\hline
44 & International Trade & econom, comerc, cresc, comerci, export, produt, merc, set, mund, import, industr, aument, indic, med, alt & comerc, export, cresc, produt, econom, comerci, balanc, merc, produ, set, alt, aument, industr, cust, indic\\
\hline
45 & Non-state Actors & organiz, sociedad, glob, civil, red, mov, transnac, global, governanc, atu, particip, nov, mund, transform, papel & sociedad, red, civil, glob, transnac, governanc, organiz, global, mov, ong, aliment, transform, governa, particip, atu\\
\hline
46 & Geopolitics in the Atlantic & sul, afric, nort, ind, contin, atlan, document, revi, delimit, limit, organiz, import, reg, alianc, ambit & nort, afric, ind, atlan, sul, contin, delimit, document, revi, alianc, projec, enquadr, dia, naquel, mant\\
\hline
47 & Brazilian Foreign Policy & govern, politicaexterna, peb, period, lul, exteri, atu, nacion, dur, formul, diplomac, papel, ano, pos, minist & politicaexterna, govern, peb, lul, exteri, formul, itamarati, fhc, atu, dur, minist, period, diplomac, conduc, abert\\
\hline
48 & Latin American Integration & amer, latin, latinoamer, reg, nov, sul, mexic, econom, con, vis, ano, grand, form, hegemon, dec & latin, latinoamer, amer, con, mexic, reg, hegemon, neolib, rio, livr, vis, frent, sul, entret, alc\\
\hline
49 & MINUSTAH & hait, naca, unid, estabil, oper, mis, organiz, manutenc, cont, engaj, empreg, lest, paz, estabelec, envolv & hait, estabil, mis, manutenc, engaj, naca, lest, oper, cont, empreg, eficac, unid, obstacul, conselh, obt\\
\hline
\end{longtable}

\newpage

\begin{table}

\caption{\label{tab:unnamed-chunk-3}Summary Statistics}
\centering
\begin{tabu} to \linewidth {>{\raggedright}X>{\raggedleft}X>{\raggedright}X>{\raggedleft}X>{\raggedleft}X>{\raggedright}X>{\raggedleft}X>{\raggedleft}X>{\raggedleft}X>{\raggedleft}X>{\raggedleft}X}
\hline
  & N &   & Mean & SD &   & Min & Q1 & Median & Q3 & Max\\
\hline
Topic1 & 2417 &  & 0.016 & 0.037 &  & 0.000 & 0.003 & 0.006 & 0.013 & 0.653\\
\hline
Topic2 & 2417 &  & 0.012 & 0.026 &  & 0.000 & 0.003 & 0.005 & 0.010 & 0.452\\
\hline
Topic3 & 2417 &  & 0.014 & 0.042 &  & 0.000 & 0.003 & 0.005 & 0.009 & 0.750\\
\hline
Topic4 & 2417 &  & 0.011 & 0.038 &  & 0.000 & 0.001 & 0.003 & 0.007 & 0.935\\
\hline
Topic5 & 2417 &  & 0.021 & 0.072 &  & 0.000 & 0.002 & 0.004 & 0.010 & 0.944\\
\hline
Topic6 & 2417 &  & 0.025 & 0.041 &  & 0.001 & 0.009 & 0.014 & 0.024 & 0.782\\
\hline
Topic7 & 2417 &  & 0.016 & 0.038 &  & 0.000 & 0.003 & 0.005 & 0.011 & 0.650\\
\hline
Topic8 & 2417 &  & 0.024 & 0.054 &  & 0.000 & 0.003 & 0.008 & 0.019 & 0.667\\
\hline
Topic9 & 2417 &  & 0.014 & 0.049 &  & 0.000 & 0.002 & 0.003 & 0.007 & 0.704\\
\hline
Topic10 & 2417 &  & 0.016 & 0.043 &  & 0.000 & 0.004 & 0.006 & 0.012 & 0.740\\
\hline
Topic11 & 2417 &  & 0.025 & 0.065 &  & 0.000 & 0.005 & 0.008 & 0.017 & 0.855\\
\hline
Topic12 & 2417 &  & 0.018 & 0.053 &  & 0.000 & 0.003 & 0.005 & 0.010 & 0.816\\
\hline
Topic13 & 2417 &  & 0.021 & 0.050 &  & 0.000 & 0.005 & 0.008 & 0.016 & 0.824\\
\hline
Topic14 & 2417 &  & 0.016 & 0.049 &  & 0.000 & 0.003 & 0.005 & 0.009 & 0.946\\
\hline
Topic15 & 2417 &  & 0.037 & 0.055 &  & 0.001 & 0.010 & 0.017 & 0.037 & 0.565\\
\hline
Topic16 & 2417 &  & 0.020 & 0.058 &  & 0.000 & 0.003 & 0.006 & 0.011 & 0.817\\
\hline
Topic17 & 2417 &  & 0.037 & 0.086 &  & 0.000 & 0.005 & 0.010 & 0.024 & 0.906\\
\hline
Topic18 & 2417 &  & 0.021 & 0.072 &  & 0.000 & 0.002 & 0.003 & 0.008 & 0.842\\
\hline
Topic19 & 2417 &  & 0.013 & 0.042 &  & 0.000 & 0.003 & 0.004 & 0.008 & 0.887\\
\hline
Topic20 & 2417 &  & 0.012 & 0.058 &  & 0.000 & 0.001 & 0.002 & 0.004 & 0.854\\
\hline
Topic21 & 2417 &  & 0.016 & 0.061 &  & 0.000 & 0.002 & 0.003 & 0.006 & 0.833\\
\hline
Topic22 & 2417 &  & 0.015 & 0.064 &  & 0.000 & 0.001 & 0.003 & 0.006 & 0.895\\
\hline
Topic23 & 2417 &  & 0.032 & 0.095 &  & 0.000 & 0.003 & 0.005 & 0.010 & 0.912\\
\hline
Topic24 & 2417 &  & 0.015 & 0.048 &  & 0.000 & 0.002 & 0.004 & 0.009 & 0.632\\
\hline
Topic25 & 2417 &  & 0.021 & 0.068 &  & 0.000 & 0.002 & 0.004 & 0.010 & 0.830\\
\hline
Topic26 & 2417 &  & 0.022 & 0.049 &  & 0.000 & 0.005 & 0.008 & 0.016 & 0.679\\
\hline
Topic27 & 2417 &  & 0.020 & 0.064 &  & 0.000 & 0.002 & 0.005 & 0.012 & 0.884\\
\hline
Topic28 & 2417 &  & 0.013 & 0.056 &  & 0.000 & 0.001 & 0.002 & 0.004 & 0.731\\
\hline
Topic29 & 2417 &  & 0.027 & 0.061 &  & 0.000 & 0.004 & 0.008 & 0.018 & 0.786\\
\hline
Topic30 & 2417 &  & 0.024 & 0.068 &  & 0.000 & 0.002 & 0.005 & 0.011 & 0.750\\
\hline
Topic31 & 2417 &  & 0.018 & 0.069 &  & 0.000 & 0.001 & 0.003 & 0.008 & 0.863\\
\hline
Topic32 & 2417 &  & 0.017 & 0.063 &  & 0.000 & 0.002 & 0.004 & 0.008 & 0.868\\
\hline
Topic33 & 2417 &  & 0.021 & 0.054 &  & 0.000 & 0.003 & 0.006 & 0.012 & 0.638\\
\hline
Topic34 & 2417 &  & 0.017 & 0.059 &  & 0.000 & 0.002 & 0.005 & 0.009 & 0.884\\
\hline
Topic35 & 2417 &  & 0.023 & 0.058 &  & 0.000 & 0.004 & 0.008 & 0.017 & 0.941\\
\hline
Topic36 & 2417 &  & 0.029 & 0.070 &  & 0.000 & 0.004 & 0.008 & 0.018 & 0.837\\
\hline
Topic37 & 2417 &  & 0.022 & 0.058 &  & 0.000 & 0.004 & 0.007 & 0.015 & 0.849\\
\hline
Topic38 & 2417 &  & 0.020 & 0.054 &  & 0.000 & 0.003 & 0.005 & 0.011 & 0.830\\
\hline
Topic39 & 2417 &  & 0.023 & 0.064 &  & 0.000 & 0.002 & 0.005 & 0.011 & 0.682\\
\hline
Topic40 & 2417 &  & 0.019 & 0.051 &  & 0.000 & 0.003 & 0.005 & 0.010 & 0.629\\
\hline
Topic41 & 2417 &  & 0.018 & 0.047 &  & 0.000 & 0.004 & 0.007 & 0.013 & 0.673\\
\hline
Topic42 & 2417 &  & 0.019 & 0.047 &  & 0.000 & 0.003 & 0.007 & 0.014 & 0.772\\
\hline
Topic43 & 2417 &  & 0.023 & 0.070 &  & 0.000 & 0.003 & 0.005 & 0.011 & 0.910\\
\hline
Topic44 & 2417 &  & 0.028 & 0.069 &  & 0.000 & 0.004 & 0.008 & 0.019 & 0.750\\
\hline
Topic45 & 2417 &  & 0.029 & 0.058 &  & 0.000 & 0.006 & 0.011 & 0.023 & 0.690\\
\hline
Topic46 & 2417 &  & 0.014 & 0.045 &  & 0.000 & 0.002 & 0.004 & 0.008 & 0.821\\
\hline
Topic47 & 2417 &  & 0.041 & 0.068 &  & 0.000 & 0.007 & 0.014 & 0.043 & 0.640\\
\hline
Topic48 & 2417 &  & 0.018 & 0.051 &  & 0.000 & 0.002 & 0.005 & 0.010 & 0.764\\
\hline
Topic49 & 2417 &  & 0.006 & 0.038 &  & 0.000 & 0.002 & 0.003 & 0.004 & 0.908\\
\hline
year & 2417 &  & 2010.763 & 6.287 &  & 1987.000 & 2007.000 & 2012.000 & 2016.000 & 2018.000\\
\hline
\end{tabu}
\end{table}

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\landscape

\begin{table}[!htbp] \centering 
  \caption{Polynomial Models (1)} 
  \label{} 
\small 
\begin{tabular}{@{\extracolsep{5pt}}lccccccccc} 
\\[-1.8ex]\hline 
\hline \\[-1.8ex] 
 & \multicolumn{9}{c}{\textit{Dependent variable:}} \\ 
\cline{2-10} 
\\[-1.8ex] & Topic3 & Topic4 & Topic5 & Topic7 & Topic8 & Topic9 & Topic10 & Topic11 & Topic12 \\ 
\\[-1.8ex] & (1) & (2) & (3) & (4) & (5) & (6) & (7) & (8) & (9)\\ 
\hline \\[-1.8ex] 
 poly(year, 5)1 & 0.104$^{**}$ & $-$0.007 & $-$0.263$^{***}$ & $-$0.088$^{**}$ & $-$0.364$^{***}$ & 0.121$^{**}$ & 0.279$^{***}$ & $-$0.185$^{***}$ & 0.204$^{***}$ \\ 
  & (0.042) & (0.038) & (0.072) & (0.038) & (0.054) & (0.049) & (0.043) & (0.065) & (0.053) \\ 
  & & & & & & & & & \\ 
 poly(year, 5)2 & 0.172$^{***}$ & $-$0.070$^{*}$ & $-$0.326$^{***}$ & $-$0.071$^{*}$ & 0.049 & 0.002 & 0.143$^{***}$ & 0.019 & $-$0.009 \\ 
  & (0.042) & (0.038) & (0.072) & (0.038) & (0.054) & (0.049) & (0.043) & (0.065) & (0.053) \\ 
  & & & & & & & & & \\ 
 poly(year, 5)3 & 0.061 & 0.020 & 0.026 & 0.058 & $-$0.162$^{***}$ & 0.056 & 0.005 & 0.124$^{*}$ & $-$0.118$^{**}$ \\ 
  & (0.042) & (0.038) & (0.072) & (0.038) & (0.054) & (0.049) & (0.043) & (0.065) & (0.053) \\ 
  & & & & & & & & & \\ 
 poly(year, 5)4 & 0.013 & 0.020 & 0.116 & 0.054 & $-$0.114$^{**}$ & 0.054 & $-$0.078$^{*}$ & $-$0.080 & $-$0.107$^{**}$ \\ 
  & (0.042) & (0.038) & (0.072) & (0.038) & (0.054) & (0.049) & (0.043) & (0.065) & (0.053) \\ 
  & & & & & & & & & \\ 
 poly(year, 5)5 & 0.004 & $-$0.038 & 0.052 & 0.036 & 0.140$^{***}$ & 0.006 & $-$0.079$^{*}$ & 0.057 & $-$0.017 \\ 
  & (0.042) & (0.038) & (0.072) & (0.038) & (0.054) & (0.049) & (0.043) & (0.065) & (0.053) \\ 
  & & & & & & & & & \\ 
 Constant & 0.014$^{***}$ & 0.011$^{***}$ & 0.021$^{***}$ & 0.016$^{***}$ & 0.024$^{***}$ & 0.014$^{***}$ & 0.016$^{***}$ & 0.025$^{***}$ & 0.018$^{***}$ \\ 
  & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) \\ 
  & & & & & & & & & \\ 
\hline \\[-1.8ex] 
Observations & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 \\ 
\hline 
\hline \\[-1.8ex] 
\textit{Note:}  & \multicolumn{9}{l}{*p<0.1; **p<0.05; ***p<0.01} \\ 
\end{tabular} 
\end{table}

\newpage

\begin{table}[!htbp] \centering 
  \caption{Polynomial Models (2)} 
  \label{} 
\small 
\begin{tabular}{@{\extracolsep{5pt}}lcccccccc} 
\\[-1.8ex]\hline 
\hline \\[-1.8ex] 
 & \multicolumn{8}{c}{\textit{Dependent variable:}} \\ 
\cline{2-9} 
\\[-1.8ex] & Topic13 & Topic14 & Topic15 & Topic16 & Topic17 & Topic18 & Topic19 & Topic20 \\ 
\\[-1.8ex] & (1) & (2) & (3) & (4) & (5) & (6) & (7) & (8)\\ 
\hline \\[-1.8ex] 
 poly(year, 5)1 & $-$0.080 & $-$0.105$^{**}$ & 0.032 & $-$0.074 & 0.314$^{***}$ & $-$0.388$^{***}$ & 0.024 & 0.133$^{**}$ \\ 
  & (0.050) & (0.049) & (0.055) & (0.058) & (0.086) & (0.072) & (0.042) & (0.058) \\ 
  & & & & & & & & \\ 
 poly(year, 5)2 & 0.008 & $-$0.006 & $-$0.056 & $-$0.032 & 0.297$^{***}$ & $-$0.297$^{***}$ & $-$0.027 & 0.121$^{**}$ \\ 
  & (0.050) & (0.049) & (0.055) & (0.058) & (0.086) & (0.072) & (0.042) & (0.058) \\ 
  & & & & & & & & \\ 
 poly(year, 5)3 & 0.062 & 0.103$^{**}$ & $-$0.065 & $-$0.017 & 0.065 & 0.051 & 0.077$^{*}$ & 0.140$^{**}$ \\ 
  & (0.050) & (0.049) & (0.055) & (0.058) & (0.086) & (0.072) & (0.042) & (0.058) \\ 
  & & & & & & & & \\ 
 poly(year, 5)4 & $-$0.039 & 0.100$^{**}$ & $-$0.014 & 0.026 & $-$0.303$^{***}$ & 0.047 & 0.094$^{**}$ & 0.040 \\ 
  & (0.050) & (0.049) & (0.055) & (0.058) & (0.086) & (0.072) & (0.042) & (0.058) \\ 
  & & & & & & & & \\ 
 poly(year, 5)5 & $-$0.065 & 0.081$^{*}$ & $-$0.052 & 0.154$^{***}$ & $-$0.092 & $-$0.026 & 0.084$^{**}$ & 0.014 \\ 
  & (0.050) & (0.049) & (0.055) & (0.058) & (0.086) & (0.072) & (0.042) & (0.058) \\ 
  & & & & & & & & \\ 
 Constant & 0.021$^{***}$ & 0.016$^{***}$ & 0.037$^{***}$ & 0.020$^{***}$ & 0.037$^{***}$ & 0.021$^{***}$ & 0.013$^{***}$ & 0.012$^{***}$ \\ 
  & (0.001) & (0.001) & (0.001) & (0.001) & (0.002) & (0.001) & (0.001) & (0.001) \\ 
  & & & & & & & & \\ 
\hline \\[-1.8ex] 
Observations & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 \\ 
\hline 
\hline \\[-1.8ex] 
\textit{Note:}  & \multicolumn{8}{l}{*p<0.1; **p<0.05; ***p<0.01} \\ 
\end{tabular} 
\end{table}

\newpage

\begin{table}[!htbp] \centering 
  \caption{Polynomial Models (3)} 
  \label{} 
\small 
\begin{tabular}{@{\extracolsep{5pt}}lcccccccc} 
\\[-1.8ex]\hline 
\hline \\[-1.8ex] 
 & \multicolumn{8}{c}{\textit{Dependent variable:}} \\ 
\cline{2-9} 
\\[-1.8ex] & Topic21 & Topic22 & Topic23 & Topic24 & Topic25 & Topic26 & Topic27 & Topic28 \\ 
\\[-1.8ex] & (1) & (2) & (3) & (4) & (5) & (6) & (7) & (8)\\ 
\hline \\[-1.8ex] 
 poly(year, 5)1 & $-$0.085 & $-$0.238$^{***}$ & 0.968$^{***}$ & 0.053 & 0.028 & $-$0.038 & 0.073 & 0.133$^{**}$ \\ 
  & (0.061) & (0.063) & (0.092) & (0.048) & (0.068) & (0.049) & (0.064) & (0.056) \\ 
  & & & & & & & & \\ 
 poly(year, 5)2 & 0.007 & 0.013 & 0.623$^{***}$ & $-$0.068 & 0.012 & $-$0.095$^{*}$ & 0.016 & $-$0.031 \\ 
  & (0.061) & (0.063) & (0.092) & (0.048) & (0.068) & (0.049) & (0.064) & (0.056) \\ 
  & & & & & & & & \\ 
 poly(year, 5)3 & 0.087 & 0.029 & 0.257$^{***}$ & $-$0.010 & 0.098 & $-$0.043 & $-$0.008 & $-$0.095$^{*}$ \\ 
  & (0.061) & (0.063) & (0.092) & (0.048) & (0.068) & (0.049) & (0.064) & (0.056) \\ 
  & & & & & & & & \\ 
 poly(year, 5)4 & $-$0.130$^{**}$ & 0.139$^{**}$ & 0.070 & $-$0.021 & 0.016 & $-$0.101$^{**}$ & 0.040 & $-$0.061 \\ 
  & (0.061) & (0.063) & (0.092) & (0.048) & (0.068) & (0.049) & (0.064) & (0.056) \\ 
  & & & & & & & & \\ 
 poly(year, 5)5 & $-$0.099 & $-$0.181$^{***}$ & 0.040 & $-$0.086$^{*}$ & 0.028 & $-$0.057 & 0.00000 & 0.002 \\ 
  & (0.061) & (0.063) & (0.092) & (0.048) & (0.068) & (0.049) & (0.064) & (0.056) \\ 
  & & & & & & & & \\ 
 Constant & 0.016$^{***}$ & 0.015$^{***}$ & 0.032$^{***}$ & 0.015$^{***}$ & 0.021$^{***}$ & 0.022$^{***}$ & 0.020$^{***}$ & 0.013$^{***}$ \\ 
  & (0.001) & (0.001) & (0.002) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) \\ 
  & & & & & & & & \\ 
\hline \\[-1.8ex] 
Observations & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 \\ 
\hline 
\hline \\[-1.8ex] 
\textit{Note:}  & \multicolumn{8}{l}{*p<0.1; **p<0.05; ***p<0.01} \\ 
\end{tabular} 
\end{table}

\newpage

\begin{table}[!htbp] \centering 
  \caption{Polynomial Models (4)} 
  \label{} 
\small 
\begin{tabular}{@{\extracolsep{5pt}}lcccccccc} 
\\[-1.8ex]\hline 
\hline \\[-1.8ex] 
 & \multicolumn{8}{c}{\textit{Dependent variable:}} \\ 
\cline{2-9} 
\\[-1.8ex] & Topic29 & Topic30 & Topic31 & Topic32 & Topic33 & Topic34 & Topic35 & Topic36 \\ 
\\[-1.8ex] & (1) & (2) & (3) & (4) & (5) & (6) & (7) & (8)\\ 
\hline \\[-1.8ex] 
 poly(year, 5)1 & $-$0.084 & 0.228$^{***}$ & 0.001 & $-$0.173$^{***}$ & 0.125$^{**}$ & $-$0.150$^{**}$ & $-$0.422$^{***}$ & 0.311$^{***}$ \\ 
  & (0.061) & (0.067) & (0.069) & (0.063) & (0.054) & (0.058) & (0.057) & (0.070) \\ 
  & & & & & & & & \\ 
 poly(year, 5)2 & $-$0.059 & $-$0.144$^{**}$ & $-$0.134$^{*}$ & $-$0.036 & $-$0.099$^{*}$ & 0.106$^{*}$ & 0.194$^{***}$ & $-$0.034 \\ 
  & (0.061) & (0.067) & (0.069) & (0.063) & (0.054) & (0.058) & (0.057) & (0.070) \\ 
  & & & & & & & & \\ 
 poly(year, 5)3 & $-$0.005 & $-$0.284$^{***}$ & $-$0.046 & 0.025 & $-$0.074 & $-$0.142$^{**}$ & $-$0.060 & $-$0.113 \\ 
  & (0.061) & (0.067) & (0.069) & (0.063) & (0.054) & (0.058) & (0.057) & (0.070) \\ 
  & & & & & & & & \\ 
 poly(year, 5)4 & 0.181$^{***}$ & $-$0.174$^{***}$ & $-$0.021 & $-$0.062 & $-$0.064 & 0.159$^{***}$ & 0.100$^{*}$ & $-$0.035 \\ 
  & (0.061) & (0.067) & (0.069) & (0.063) & (0.054) & (0.058) & (0.057) & (0.070) \\ 
  & & & & & & & & \\ 
 poly(year, 5)5 & $-$0.003 & $-$0.035 & 0.051 & $-$0.069 & $-$0.030 & $-$0.066 & 0.063 & 0.075 \\ 
  & (0.061) & (0.067) & (0.069) & (0.063) & (0.054) & (0.058) & (0.057) & (0.070) \\ 
  & & & & & & & & \\ 
 Constant & 0.027$^{***}$ & 0.024$^{***}$ & 0.018$^{***}$ & 0.017$^{***}$ & 0.021$^{***}$ & 0.017$^{***}$ & 0.023$^{***}$ & 0.029$^{***}$ \\ 
  & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) \\ 
  & & & & & & & & \\ 
\hline \\[-1.8ex] 
Observations & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 \\ 
\hline 
\hline \\[-1.8ex] 
\textit{Note:}  & \multicolumn{8}{l}{*p<0.1; **p<0.05; ***p<0.01} \\ 
\end{tabular} 
\end{table}

\newpage

\begin{table}[!htbp] \centering 
  \caption{Polynomial Models (5)} 
  \label{} 
\small 
\begin{tabular}{@{\extracolsep{5pt}}lcccccccc} 
\\[-1.8ex]\hline 
\hline \\[-1.8ex] 
 & \multicolumn{8}{c}{\textit{Dependent variable:}} \\ 
\cline{2-9} 
\\[-1.8ex] & Topic37 & Topic38 & Topic39 & Topic40 & Topic41 & Topic42 & Topic43 & Topic44 \\ 
\\[-1.8ex] & (1) & (2) & (3) & (4) & (5) & (6) & (7) & (8)\\ 
\hline \\[-1.8ex] 
 poly(year, 5)1 & 0.249$^{***}$ & $-$0.163$^{***}$ & 0.350$^{***}$ & $-$0.004 & 0.162$^{***}$ & $-$0.102$^{**}$ & $-$0.286$^{***}$ & $-$0.219$^{***}$ \\ 
  & (0.058) & (0.054) & (0.064) & (0.051) & (0.047) & (0.047) & (0.069) & (0.069) \\ 
  & & & & & & & & \\ 
 poly(year, 5)2 & 0.042 & $-$0.152$^{***}$ & 0.056 & 0.025 & $-$0.032 & $-$0.138$^{***}$ & $-$0.192$^{***}$ & $-$0.049 \\ 
  & (0.058) & (0.054) & (0.064) & (0.051) & (0.047) & (0.047) & (0.069) & (0.069) \\ 
  & & & & & & & & \\ 
 poly(year, 5)3 & $-$0.088 & 0.105$^{*}$ & $-$0.141$^{**}$ & 0.140$^{***}$ & $-$0.077 & 0.053 & 0.073 & $-$0.120$^{*}$ \\ 
  & (0.058) & (0.054) & (0.064) & (0.051) & (0.047) & (0.047) & (0.069) & (0.069) \\ 
  & & & & & & & & \\ 
 poly(year, 5)4 & $-$0.119$^{**}$ & 0.045 & $-$0.145$^{**}$ & 0.049 & $-$0.019 & 0.036 & 0.155$^{**}$ & 0.123$^{*}$ \\ 
  & (0.058) & (0.054) & (0.064) & (0.051) & (0.047) & (0.047) & (0.069) & (0.069) \\ 
  & & & & & & & & \\ 
 poly(year, 5)5 & 0.019 & $-$0.100$^{*}$ & $-$0.070 & 0.009 & 0.061 & $-$0.045 & $-$0.069 & $-$0.046 \\ 
  & (0.058) & (0.054) & (0.064) & (0.051) & (0.047) & (0.047) & (0.069) & (0.069) \\ 
  & & & & & & & & \\ 
 Constant & 0.022$^{***}$ & 0.020$^{***}$ & 0.023$^{***}$ & 0.019$^{***}$ & 0.018$^{***}$ & 0.019$^{***}$ & 0.023$^{***}$ & 0.028$^{***}$ \\ 
  & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) \\ 
  & & & & & & & & \\ 
\hline \\[-1.8ex] 
Observations & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 \\ 
\hline 
\hline \\[-1.8ex] 
\textit{Note:}  & \multicolumn{8}{l}{*p<0.1; **p<0.05; ***p<0.01} \\ 
\end{tabular} 
\end{table}

\newpage

\begin{table}[!htbp] \centering 
  \caption{Polynomial Models (6)} 
  \label{} 
\small 
\begin{tabular}{@{\extracolsep{5pt}}lccccc} 
\\[-1.8ex]\hline 
\hline \\[-1.8ex] 
 & \multicolumn{5}{c}{\textit{Dependent variable:}} \\ 
\cline{2-6} 
\\[-1.8ex] & Topic45 & Topic46 & Topic47 & Topic48 & Topic49 \\ 
\\[-1.8ex] & (1) & (2) & (3) & (4) & (5)\\ 
\hline \\[-1.8ex] 
 poly(year, 5)1 & $-$0.082 & 0.245$^{***}$ & 0.006 & $-$0.181$^{***}$ & 0.014 \\ 
  & (0.058) & (0.045) & (0.067) & (0.051) & (0.037) \\ 
  & & & & & \\ 
 poly(year, 5)2 & $-$0.060 & 0.137$^{***}$ & $-$0.155$^{**}$ & 0.041 & $-$0.078$^{**}$ \\ 
  & (0.058) & (0.045) & (0.067) & (0.051) & (0.037) \\ 
  & & & & & \\ 
 poly(year, 5)3 & 0.022 & $-$0.043 & $-$0.063 & 0.013 & $-$0.105$^{***}$ \\ 
  & (0.058) & (0.045) & (0.067) & (0.051) & (0.037) \\ 
  & & & & & \\ 
 poly(year, 5)4 & $-$0.018 & $-$0.029 & $-$0.120$^{*}$ & 0.198$^{***}$ & $-$0.028 \\ 
  & (0.058) & (0.045) & (0.067) & (0.051) & (0.037) \\ 
  & & & & & \\ 
 poly(year, 5)5 & 0.117$^{**}$ & 0.078$^{*}$ & $-$0.091 & $-$0.045 & 0.063$^{*}$ \\ 
  & (0.058) & (0.045) & (0.067) & (0.051) & (0.037) \\ 
  & & & & & \\ 
 Constant & 0.029$^{***}$ & 0.014$^{***}$ & 0.041$^{***}$ & 0.018$^{***}$ & 0.006$^{***}$ \\ 
  & (0.001) & (0.001) & (0.001) & (0.001) & (0.001) \\ 
  & & & & & \\ 
\hline \\[-1.8ex] 
Observations & 2,417 & 2,417 & 2,417 & 2,417 & 2,417 \\ 
\hline 
\hline \\[-1.8ex] 
\textit{Note:}  & \multicolumn{5}{l}{*p<0.1; **p<0.05; ***p<0.01} \\ 
\end{tabular} 
\end{table}

\end{document}
